30b^2+13b-3=

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Solution for 30b^2+13b-3= equation:


Simplifying
30b2 + 13b + -3 = 0

Reorder the terms:
-3 + 13b + 30b2 = 0

Solving
-3 + 13b + 30b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -5b)(1 + -6b) = 0

Subproblem 1

Set the factor '(-3 + -5b)' equal to zero and attempt to solve: Simplifying -3 + -5b = 0 Solving -3 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5b = 0 + 3 -5b = 0 + 3 Combine like terms: 0 + 3 = 3 -5b = 3 Divide each side by '-5'. b = -0.6 Simplifying b = -0.6

Subproblem 2

Set the factor '(1 + -6b)' equal to zero and attempt to solve: Simplifying 1 + -6b = 0 Solving 1 + -6b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6b = 0 + -1 -6b = 0 + -1 Combine like terms: 0 + -1 = -1 -6b = -1 Divide each side by '-6'. b = 0.1666666667 Simplifying b = 0.1666666667

Solution

b = {-0.6, 0.1666666667}

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